Abstract

A theorem for expansion of a class of functions into an integral involving associated Legendre functions is obtained in this paper. This is a somewhat general integral expansion formula for a function f(x) defined in (x1,x2) where −1<x1<x2<1, which is perhaps useful in solving certain boundary value problems of mathematical physics and of elasticity involving conical boundaries.

Copyright Hindawi Publishing Corporation. The ELibM mirror is published by FIZ Karlsruhe.